Quantum Montgomery identity and some quantum integral inequalities

Abstract

We discover a new version of the celebrated Montgomery identity via quantum integral operators and establish certain quantum integral inequalities of Ostrowski type by using this identity. Relevant connections of the results obtained in this work with those deduced in earlier published papers are also considered.

16 pages

References in corpus (2)

• New inequalities of Ostrowski's type for s-convex functions in the second sense with applications
• New Ostrowski type inequalities for m-convex functions and applications